Some new Subcategories and homological dimensions related to Semidualizing modules

M Rahmani, AJ Taherizadeh - arXiv preprint arXiv:1508.05805, 2015 - arxiv.org
Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
by using the semidualizing modules, we define and study new classes of modules and …

Codualizing modules

M Rahmani, AJ Taherizadeh - arXiv preprint arXiv:1611.08881, 2016 - arxiv.org
Let $(R,\mathfrak {m}) $ be a Noetherian local ring. In this paper, we introduce a dual notion
for dualizing modules, namely codualizing modules. We study the basic properties of …

New characterizations of dualizing modules

X Tang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

Some Properties of n-semidualizing Modules

T Se - Acta Mathematica Vietnamica, 2023 - Springer
Let R be a commutative noetherian ring. The n-semidualizing modules of R are
generalizations of its semidualizing modules. We will prove some basic properties of n …

[PDF][PDF] FP-injectivity relative to a semidualizing bimodule

X Tang - Publ. Math. Debrecen, 2012 - publi.math.unideb.hu
In this paper, we extend the notion of C-injective module to that of C-FP-injective module,
where S CR is a semidualizing bimodule over associative rings. We first obtain a result on …

Semidualizing Module and Gorenstein Homological Dimensions

Z Zhang - 2018 - projecteuclid.org
Let C be a semidualizing module over any commutative ring R. We investigate the
semidualizing module C with finite injective dimension. In particular, we obtain some …

Strongly -flat modules, strongly nonnil-injective modules and their homological dimensions

X Zhang, S Xing, W Qi - arXiv preprint arXiv:2211.14681, 2022 - arxiv.org
In this paper, we first introduce and study the notions of strongly $\phi $-flat modules and
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …

[PDF][PDF] Chaoling Huang and Peihua Zhong

C DIN, N PROJECTIVE, DVR IO - 2015 - kurims.kyoto-u.ac.jp
In this paper, for a fixed semidualizing module C, we introduce the notion of D--projective
modules which are the special setting of G-projective modules introduced by VV hite| D …

[PDF][PDF] Homological invariants related to semidualizing bimodules

X Tang, Z Huang - Colloquium Mathematicum, 2019 - researchgate.net
Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

[PDF][PDF] Mini-Workshop on Gorenstein Homological Algebra

N Ding, F Kong, X Zhang, P Zhang, A Iacob, L Yao… - ustc.edu.cn
2. Abstract Nanqing Ding (Nanjing Univ.), Gorenstein right derived functors of-\otimes-with
respect to semidualizing modules. Abstract: We study Gorenstein right derived functors of …